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Finding the Third Proportional to 8,295,224 and 17,252,623

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Solution

The third proportional to 8,295,224 and 17,252,623 is: 35,882,454.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,295,224 : 17,252,623 = 17,252,623 : x
  2. Step 2: Convert to fraction form
    8,295,224/17,252,623 = 17,252,623/x
  3. Step 3: Cross multiply
    8,295,224x = 17,252,623 × 17,252,623
  4. Step 4: Simplify right side
    8,295,224x = 297,653,000,380,129
  5. Step 5: Solve for x
    x = 297,653,000,380,129/8,295,224
  6. Step 6: Final answer
    x = 35,882,454.82

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.